GSP Activity: Parallel Lines and Transversals

Observations

 

1.      Select the points A, G, and E (in that order) and from the Measure menu choose Measure ®Angle. This should cause the measurement for the angle ÐAGE to appear.  Repeat this for ÐEGB, ÐAGH, ÐBGH, ÐGHC, ÐGHD, ÐCHF, and ÐDHF.

 

2.      Drag the points G or H around and observe how the values of the angles change. Record these angles for four (4) different positions in the table below.

 

Angle

Position 1

Position 2

Position 3

Position 4

ÐAGE

 

 

 

 

 

ÐEGB

 

 

 

 

 

ÐAGH

 

 

 

 

 

ÐBGH

 

 

 

 

 

ÐGHC

 

 

 

 

 

ÐGHD

 

 

 

 

 

ÐCHF

 

 

 

 

 

ÐDHF

 

 

 

 

 

 

 

3.      In the diagram below, indicate which angles are equal to each other (use · and ´ to show which angles are equal).